Non-local elastic plate theories

Lu, Pin, Zhang, P. Q. , Lee, H. P. , Wang, C. M. and Reddy, J. N. (2007) Non-local elastic plate theories. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 463 2088: 3225-3240. doi:10.1098/rspa.2007.1903


Author Lu, Pin
Zhang, P. Q.
Lee, H. P.
Wang, C. M.
Reddy, J. N.
Title Non-local elastic plate theories
Journal name Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences   Check publisher's open access policy
ISSN 1364-5021
1471-2946
Publication date 2007-12-08
Sub-type Article (original research)
DOI 10.1098/rspa.2007.1903
Open Access Status Not yet assessed
Volume 463
Issue 2088
Start page 3225
End page 3240
Total pages 16
Place of publication London, United Kingdom
Publisher Royal Society Publishing
Language eng
Abstract A non-local plate model is proposed based on Eringen's theory of non-local continuum mechanics. The basic equations for the non-local Kirchhoff and the Mindlin plate theories are derived. These non-local plate theories allow for the small-scale effect which becomes significant when dealing with micro-/nanoscale plate-like structures. As illustrative examples, the bending and free vibration problems of a rectangular plate with simply supported edges are solved and the exact non-local solutions are discussed in relation to their corresponding local solutions.
Keyword Kirchhoff plate theory
Microelectromechanical systems
Mindlin plate theory
Nanoelectromechanical systems
Non-local continuum mechanics
Size effects
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Civil Engineering Publications
 
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Created: Mon, 16 Jan 2017, 21:50:19 EST by Clare Nelson on behalf of Learning and Research Services (UQ Library)